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JEE MATHEMATICS MCQ: ELLIPSE

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Application +4 | -1
If 2y=x2y = x and 3y+4x=03y + 4x = 0 are the equations of a pair of conjugate diameters of an ellipse, then the eccentricity of the ellipse is
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Correct option: C
13\sqrt {\frac{1}{3}}
Option C (13\sqrt {\frac{1}{3}}) is correct because it is derived from the relationship between the slopes of conjugate diameters and the eccentricity of the ellipse.

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